Rate of growth of heated zone in hot water heated reservoir
Input(s)
h: Height of Reservoir (ft)
\(\phi\): Porosity (fraction)
q: Flow Rate of Ambient Reservoir Temperature and Pressure (bbl/d)
\(T_{j}\): Temperature of Specific Layer (K)
\(f_{w}\): Fractional flow of water in hot floods dependent on Temperature and Saturation (dimensionless)
Output(s)
A: Rate of Area Growth with time \((\mathrm{ft} \mathrm{ft} / \mathrm{d})\)
Formula(s)
\[
A=1.289 *\left(10^{-4}\right) *\left(\frac{q * T_{j} * f_{w}}{\phi * h}\right)
\]
Reference(s)
Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Page: 45.